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Syllogism Worksheet

Logical reasoning lesson 21: Syllogisms · Set 4 · 40 questions
TalentJR

How to think it through (Try to break it): Draw a circle for each word. “All A are B”: A inside B. “No A are B”: apart. “Some A are B”: overlapping. Try to draw the circles so the conclusion is false while every statement stays true. If you cannot, the conclusion follows (Yes). If you can, it does not definitely follow (No).

NameDateTime takenScore ___ / 40
  1. 1.Statements: Some keys are books. All shoes are keys. Conclusion: Some shoes are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  2. 2.Statements: All pens are cups. All pens are shoes. Conclusion: Some cups are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  3. 3.Statements: No kites are boxes. No boxes are caps. Conclusion: Some caps are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  4. 4.Statements: All shoes are boxes. Some books are boxes. Conclusion: All books are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  5. 5.Statements: Some shoes are bags. All coins are shoes. Conclusion: No bags are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  6. 6.Statements: No caps are shoes. No cups are caps. Conclusion: Some shoes are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  7. 7.Statements: All bags are pens. All pens are books. Conclusion: Some bags are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  8. 8.Statements: All coins are shoes. All shoes are bags. Conclusion: No bags are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  9. 9.Statements: Some pens are rings. All cups are pens. Conclusion: No rings are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  10. 10.Statements: No cups are books. Some books are rings. Conclusion: All cups are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  11. 11.Statements: Some shoes are balls. All balls are rings. Conclusion: Some shoes are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  12. 12.Statements: All balls are cups. Some caps are balls. Conclusion: Some cups are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  13. 13.Statements: All boxes are coins. All balls are coins. Conclusion: All boxes are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  14. 14.Statements: No bells are kites. All keys are bells. Conclusion: All keys are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  15. 15.Statements: Some keys are caps. All books are keys. Conclusion: No caps are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  16. 16.Statements: Some boxes are pens. All pens are shoes. Conclusion: All boxes are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  17. 17.Statements: All cups are coins. All coins are toys. Conclusion: All cups are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  18. 18.Statements: No toys are balls. Some balls are keys. Conclusion: All keys are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  19. 19.Statements: No toys are books. All books are bells. Conclusion: All bells are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  20. 20.Statements: No rings are pens. No bags are rings. Conclusion: All pens are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  21. 21.Statements: All toys are bells. All bells are coins. Conclusion: All toys are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  22. 22.Statements: All boxes are pens. All pens are toys. Conclusion: Some toys are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  23. 23.Statements: Some caps are balls. No pens are balls. Conclusion: All pens are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  24. 24.Statements: All pens are bells. Some boxes are bells. Conclusion: No pens are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  25. 25.Statements: Some pens are caps. No books are pens. Conclusion: All books are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  26. 26.Statements: All toys are boxes. No toys are caps. Conclusion: All caps are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  27. 27.Statements: All toys are cups. Some balls are toys. Conclusion: No balls are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  28. 28.Statements: Some books are bags. All books are shoes. Conclusion: Some bags are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  29. 29.Statements: All pens are rings. No pens are boxes. Conclusion: Some boxes are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  30. 30.Statements: No caps are books. All caps are pens. Conclusion: Some pens are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  31. 31.Statements: Some bells are keys. All kites are keys. Conclusion: All bells are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  32. 32.Statements: All bells are books. No boxes are books. Conclusion: Some boxes are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  33. 33.Statements: All bells are rings. Some shoes are rings. Conclusion: All bells are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  34. 34.Statements: All balls are keys. All keys are bags. Conclusion: No balls are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  35. 35.Statements: All rings are bags. Some boxes are rings. Conclusion: No bags are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  36. 36.Statements: No pens are kites. All balls are pens. Conclusion: Some kites are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  37. 37.Statements: All cups are toys. All cups are pens. Conclusion: No pens are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  38. 38.Statements: Some shoes are toys. Some balls are toys. Conclusion: No balls are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  39. 39.Statements: All bells are caps. Some bells are shoes. Conclusion: Some shoes are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  40. 40.Statements: Some bags are shoes. Some bags are pens. Conclusion: Some shoes are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No

Answer key

  1. No
  2. Yes
  3. No
  4. No
  5. No
  6. No
  7. Yes
  8. No
  9. No
  10. No
  11. Yes
  12. Yes
  13. No
  14. No
  15. No
  16. No
  17. Yes
  18. No
  19. No
  20. No
  21. Yes
  22. Yes
  23. No
  24. No
  25. No
  26. No
  27. No
  28. Yes
  29. No
  30. No
  31. No
  32. No
  33. No
  34. No
  35. No
  36. No
  37. No
  38. No
  39. Yes
  40. No

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